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172472664 = 233713157503
BaseRepresentation
bin10100100011110…
…11100101011000
3110000112112000110
422101323211120
5323123111124
625040404320
74162664520
oct1221734530
9400475013
10172472664
11893a12a1
12499166a0
1329969940
1418c98680
151021d029
hexa47b958

172472664 has 128 divisors (see below), whose sum is σ = 535127040. Its totient is φ = 45107712.

The previous prime is 172472639. The next prime is 172472687. The reversal of 172472664 is 466274271.

172472664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342637 + ... + 343139.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680).

Almost surely, 2172472664 is an apocalyptic number.

172472664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172472664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267563520).

172472664 is an abundant number, since it is smaller than the sum of its proper divisors (362654376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172472664 is a wasteful number, since it uses less digits than its factorization.

172472664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 172472664 is about 13132.8848315974. The cubic root of 172472664 is about 556.6387342210.

The spelling of 172472664 in words is "one hundred seventy-two million, four hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 157 168 182 273 312 314 364 471 503 546 628 728 942 1006 1092 1099 1256 1509 1884 2012 2041 2184 2198 3018 3297 3521 3768 4024 4082 4396 6036 6123 6539 6594 7042 8164 8792 10563 12072 12246 13078 13188 14084 14287 16328 19617 21126 24492 26156 26376 28168 28574 39234 42252 42861 45773 48984 52312 57148 78468 78971 84504 85722 91546 114296 137319 156936 157942 171444 183092 236913 274638 315884 342888 366184 473826 549276 552797 631768 947652 1026623 1098552 1105594 1658391 1895304 2053246 2211188 3079869 3316782 4106492 4422376 6159738 6633564 7186361 8212984 12319476 13267128 14372722 21559083 24638952 28745444 43118166 57490888 86236332 172472664